512013 has 8 divisors (see below), whose sum is σ = 689728. Its totient is φ = 337824.

The previous prime is 512011. The next prime is 512021. The reversal of 512013 is 310215.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 512013 - 2¹ = 512011 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 512013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (512011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 520 + ... + 1137.

It is an arithmetic number, because the mean of its divisors is an integer number (86216).

2⁵¹²⁰¹³ is an apocalyptic number.

It is an amenable number.

512013 is a deficient number, since it is larger than the sum of its proper divisors (177715).

512013 is a wasteful number, since it uses less digits than its factorization.

512013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1763.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 512013 is about 715.5508367684. The cubic root of 512013 is about 80.0006770776. Note that the first 3 decimals are identical.

Adding to 512013 its reverse (310215), we get a palindrome (822228).

The spelling of 512013 in words is "five hundred twelve thousand, thirteen".